Mathematics · May / June 2023 · Paper 51 · Question 3
YMA01
As printed in the paper
The question as text
3. Two students observe a book of mass 0.2 kg fall vertically from rest from a shelf that is 1.5 m above the floor. Student A suggests that the book is modelled as a particle falling freely under gravity.
Read automatically from the paper; the printed page above is exact.
Show the answer and mark scheme
3(a)[3]
t =
0.55 or 0.553
(s)
1
(
)
2
1
.
5
=
0
+
2 a
0 6
.
3(b)[5]
0.2
g
−
R
=
0.2
a
R =
0.293 , 0.29
Notes for Question 3
(a)
M1
Complete method to find the time taken using a = g
A1
Correct unsimplified equation in t only
A1
Cao
(b)
M1
Complete method to form an equation in a only, a
≠
g
, using t = 0.6
A1
Correct unsimplified equation in a only
M1
Use F
=
ma
to form an equation of motion with correct terms, condone sign
errors, a
≠
g
A1
Correct unsimplified equation
A1
Cao
N.B. Allow consistent use of (a) instead of a and penalise in the second
equation if inconsistent.
N.B. Penalise use of g = 9.81 once for the whole question.
Also penalise once for the whole question, answers as fractions, penalise the
first one, if both answers are fractions.
T and 4T correctly placed
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